On duality for partial differential (and difference) equations

DOI10.1016/j.jalgebra.2003.07.022zbMath1099.13517OpenAlexW2024531167MaRDI QIDQ1883040

Vakhtang Lomadze

Publication date: 1 October 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.07.022

Mathematics Subject Classification ID

Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Commutative rings of differential operators and their modules (13N10) Differential algebra (13N99)

Related Items (6)

On the structure of behaviors ⋮ Axiomatic characterization of linear differential systems (and operators) ⋮ Linear systems, and ARMA- and Fliess models ⋮ Taylor approximations of multidimensional linear differential systems ⋮ Linear systems with locally integrable trajectories ⋮ Polynomial solutions to linear PDEs with constant coefficients

Cites Work

• Multidimensional constant linear systems
• Injective modules over Noetherian rings
• Variations on the fundamental principle for linear systems of partial differential and difference equations with constant coefficients
• Duality theory for Grothendieck categories and linearly compact rings
• On homomorphisms of n-D behaviors
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